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arXiv · 1707.06504

The isoperimetric problem for nonlocal perimeters

Annalisa Cesaroni·Matteo Novaga
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Abstract

We consider a class of nonlocal generalized perimeters which includes fractional perimeters and Riesz type potentials. We prove a general isoperimetric inequality for such functionals, and we discuss some applications. In particular we prove existence of an isoperimetric profile, under suitable assumptions on the interaction kernel.

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Annalisa Cesaroni, Matteo Novaga. 2017-07-20. The isoperimetric problem for nonlocal perimeters. https://arxiv.org/abs/1707.06504

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